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Simplifying -5(4m + 2) = -6m + 32 Reorder the terms: -5(2 + 4m) = -6m + 32 (2 * -5 + 4m * -5) = -6m + 32 (-10 + -20m) = -6m + 32 Reorder the terms: -10 + -20m = 32 + -6m Solving -10 + -20m = 32 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. -10 + -20m + 6m = 32 + -6m + 6m Combine like terms: -20m + 6m = -14m -10 + -14m = 32 + -6m + 6m Combine like terms: -6m + 6m = 0 -10 + -14m = 32 + 0 -10 + -14m = 32 Add '10' to each side of the equation. -10 + 10 + -14m = 32 + 10 Combine like terms: -10 + 10 = 0 0 + -14m = 32 + 10 -14m = 32 + 10 Combine like terms: 32 + 10 = 42 -14m = 42 Divide each side by '-14'. m = -3 Simplifying m = -3
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